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Simplifying 12x + -1(3x + 8) + (39 + -5x) = 14 + (25x + -8) + -1(41 + -1x) Reorder the terms: 12x + -1(8 + 3x) + (39 + -5x) = 14 + (25x + -8) + -1(41 + -1x) 12x + (8 * -1 + 3x * -1) + (39 + -5x) = 14 + (25x + -8) + -1(41 + -1x) 12x + (-8 + -3x) + (39 + -5x) = 14 + (25x + -8) + -1(41 + -1x) Remove parenthesis around (39 + -5x) 12x + -8 + -3x + 39 + -5x = 14 + (25x + -8) + -1(41 + -1x) Reorder the terms: -8 + 39 + 12x + -3x + -5x = 14 + (25x + -8) + -1(41 + -1x) Combine like terms: -8 + 39 = 31 31 + 12x + -3x + -5x = 14 + (25x + -8) + -1(41 + -1x) Combine like terms: 12x + -3x = 9x 31 + 9x + -5x = 14 + (25x + -8) + -1(41 + -1x) Combine like terms: 9x + -5x = 4x 31 + 4x = 14 + (25x + -8) + -1(41 + -1x) Reorder the terms: 31 + 4x = 14 + (-8 + 25x) + -1(41 + -1x) Remove parenthesis around (-8 + 25x) 31 + 4x = 14 + -8 + 25x + -1(41 + -1x) 31 + 4x = 14 + -8 + 25x + (41 * -1 + -1x * -1) 31 + 4x = 14 + -8 + 25x + (-41 + 1x) Reorder the terms: 31 + 4x = 14 + -8 + -41 + 25x + 1x Combine like terms: 14 + -8 = 6 31 + 4x = 6 + -41 + 25x + 1x Combine like terms: 6 + -41 = -35 31 + 4x = -35 + 25x + 1x Combine like terms: 25x + 1x = 26x 31 + 4x = -35 + 26x Solving 31 + 4x = -35 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 31 + 4x + -26x = -35 + 26x + -26x Combine like terms: 4x + -26x = -22x 31 + -22x = -35 + 26x + -26x Combine like terms: 26x + -26x = 0 31 + -22x = -35 + 0 31 + -22x = -35 Add '-31' to each side of the equation. 31 + -31 + -22x = -35 + -31 Combine like terms: 31 + -31 = 0 0 + -22x = -35 + -31 -22x = -35 + -31 Combine like terms: -35 + -31 = -66 -22x = -66 Divide each side by '-22'. x = 3 Simplifying x = 3
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